What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number.

Question:

Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4. What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number. O 22% 36% O 3% O 33%

The probability of rolling a 2 then 4 is 3%

Step-by-step explanation:

Given

A die rolled twice

Required

Probability of rolling a 2 then 4; i.e. P(2 n 4)

First, we need to list out the sample space

Next, is to calculate P(2)

Next, is to calculate P(4)

Next,is to calculate the required probability using the following formula

Convert to Percentage

Approximate

Hence, the probability of rolling a 2 then 4 is 3%

If you observe the graph, the graph is touching the x-axis at the point x=-1 and is turning away. 

This means, the graph as an even multiplicity at x=-1. So the two roots of the given polynomial are x = -1 and x = -1. Thus, the two factors of the polynomial are (x+1) and (x+1)

Product of the factors is equal to the polynomial. So the given polynomial will be (x+1)(x+1).

Therefore, the answer to this question is option C